Derivations of octonion matrix algebras

Harry Petyt*

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

1 Citation (Scopus)
50 Downloads (Pure)

Abstract

It is well-known that the exceptional Lie algebras f4 and g2 arise from the octonions as the derivation algebras of the 3 × 3 hermitian and 1 × 1 antihermitian matrices, respectively. Inspired by this, we compute the derivation algebras of the spaces of hermitian and antihermitian matrices over an octonion algebra in all dimensions.

Original languageEnglish
Pages (from-to)4216-4223
Number of pages8
JournalCommunications in Algebra
Volume47
Issue number10
Early online date6 Apr 2019
DOIs
Publication statusPublished - 3 Oct 2019

Keywords

  • Derivations
  • exceptional Lie algebras
  • Hermitian matrices
  • octonions

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